For questions involving the application of the program Maple to mathematics. NOTE: questions which focus primarily on the program Maple and not on its applications to mathematics are not appropriate for this site.

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Can maple solve a nonlinear system of equations?

I have a system of equations, see below. I wonder if it is possible to solve this for three unknowns $x,y, \gamma$ (the $c_i$ are known constants) in a computer program for ex. maple? I do not wanna ...
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1answer
31 views

How to simplify an equation and remove the denominator in Maple?

Say I have $$ f(x)=\frac{ax+b}{cx+d} $$ I wish to assgin $f(x)=1$ and simplify to have $$ ax+b-cx-d=0. $$ How may I do this in Maple? I tried simplify(f=1,x) ...
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+150

moving frame with maple

I have already ask this question on stackoverflow, but since it concerns as mathematics than computer science, I ask it here too. I would like to make a classical computation using maple. I would ...
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1answer
33 views

Maple plot the $l^p$ balls: $\{(x,y) \mid |x|^p + |y|^p \le 1\}$ for $p = 1,…,10$

I have been asked to construct this plot in maple for an analysis assignment. I have been given no other instructions on how to do this. I am not familiar at all with defining or plotting these kinds ...
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1answer
28 views

Difference for summation in maple

When calculate the differential respect to $x$ with Maple, I got this result. $$\frac{d^4x^\lambda}{dx^4} = \frac{x^\lambda\cdot \lambda\cdot(\lambda-1)\cdot(\lambda-2)\cdot(\lambda-3)}{x^4}$$ Is ...
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0answers
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What will be the maple code to find the values of the exponents of the given function?

I have a mathematical expression of the form $$f(m)=A-B*\left(\frac{m+1}{\psi}+\frac{K1*(1-\beta^{m+1})+K2*\alpha^{m-1}}{K3*\alpha^{m-1}}\right),$$ where $A,B,\psi,K1,K2,K3,\alpha,\beta$ are ...
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1answer
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How to find root 0f $(1+a)\left(1-\frac{a}{\sqrt{e}}\int_{0}^{1}x^{a-1}\exp\left\{-\frac{x\ln x}{2(1-x)}\right\}\,{\rm d}x\right)-0.5$?

I tried to find root of equation $f(a)-0.5=0$ using the Maple, where $$f(a)=(1+a)\left(1-\frac{a}{\sqrt{e}}\int_{0}^{1}x^{a-1}\exp\left\{-\frac{x\ln x}{2(1-x)}\right\}\,{\rm d}x\right),~~a>0.$$ Can ...
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1answer
53 views

How to plot $(1+a)\left(1-\frac{a}{\sqrt{e}}\int_{0}^{1}x^{a-1}\exp\left\{-\frac{x\ln x}{2(1-x)}\right\}\,{\rm d}x\right)$?

I tried to plot following function using the Maple. But I can not observe the result. Can you help me? $$f(a)=(1+a)\left(1-\frac{a}{\sqrt{e}}\int_{0}^{1}x^{a-1}\exp\left\{-\frac{x\ln ...
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2answers
58 views

Exponential Integral difference between Maple and Matlab

I try to calculate this exponential integral: $$\int_0^1 \exp(\exp(-s))ds.$$ I obtained different results in Maple: and Matlab: Which is correct?
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3answers
40 views

How to solve the following system of partial differential equations?

I have a system of partial differential equations: \begin{align} & u(a,b,c) \frac{\partial y}{\partial c} = \frac{4}{3} ab, \\ & u(a,b,c) \frac{\partial y}{\partial b} = \frac{2}{3} ac + 2 ...
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1answer
24 views

Recursive Functions in Maple

I'm trying to input the following recursive function into Maple but am not sure how? The recursive equations are as follows: \begin{align} h(2n)&=h(n),\\ h(4n+1)&= h(2n+1)+h(n), \\ ...
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0answers
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Maple and WolframAlpha return different results

I solved the integral of u/(1-u) by hand and found as result -ln(1-u) - u + constant. Now, when I evaluate this integral with WolframAlpha, I get the same result. But when I evaluate it with Maple, it ...
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2answers
52 views

how to find derivative

It is necessary for me to find $\Delta^2 u=u_{xxxx}+u_{yyyy}+2u_{xxyy}$ where $u=u(r,t).$ I tried by the following but got an error in Maple. $$x:=rcos(t);~y:=rsin(t);$$ then tried to find ...
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1answer
32 views

How to simplify expression through assumption of an equation

I want to use MAPLE, a software which is useful to solve symbolic equations. I am new to the MAPLE and I finally reached to implement what I wanted. I have a really difficult expression and I would ...
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1answer
30 views

Maple solving inequalities within a range

I have no troubles to solve an inequality using this command: solve(df(x) > 0, x) However, I need to solve it within a specified range (-1..1). Is that ...
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2answers
13 views

Try to obtain the exponent of a variable in Maple.

Are there some function $f$ in Maple such that $f(K[1,2]^{1/3}) = 1/3$? Any help will be greatly appreciated!
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2answers
23 views

“Invalid sequence” in Maple

I tried to define a procedure in Maple as follows. removeAnElementInList:=proc(i, l) local r, j; r:=[]; for j from 1 to lengthOfList(l) do ( if(j<>i) then r:=append(r, l[j]) end if ) ...
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0answers
26 views

How to obtain $K$ in $K[1,2]$ in Maple?

I would like to obtain the letter $K$ from $K[1,2]$ in Maple. I tried to use op(K[1, 2]). But I get $[1,2]$. Are there some function $f$ in Maple such that $f(K[1,2]) = K$? Any help will be greatly ...
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1answer
30 views

evalf integration with multiple free constants

How to get numeric value of integration: eq:=int(c*x^(4/5)*exp((1+x)^(1/7)),x=1..2) I tried to do: ...
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1answer
20 views

Using rsolve in Maple

I have tried using rsolve in Maple to obtain a recursion formula from an ordinary differential equation with summations. I get Is there some reason for Maple ...
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1answer
35 views

Solving a nonlinear algebraic system representing the equilibrium of a system of ODEs

Given the following system: $$ a_1+(a_3+a_4)V-a_5WX = 0 \\ (a_7+a_4)Y-a_6WZ = 0 \\ a_2-W(a_4+a_5X+a_6Z)+(a_3+a_8)V+a_7Y = 0 \\ a_5WX-(a_3+a_8+a_4)V = 0 \\ a_6WZ-(a_7+a_4)Y = 0 $$ where $a_1$ to ...
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0answers
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What is an equivalent version of maple software in linux?

What is an equivalent version of maple software in linux? From the comment by james, I am editing this post. Maple is not a free version as i have searched in google. I need equivalent ...
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1answer
24 views

Maple combstruct

How do I implement pointing in Maple with combstruct? I'm writing a symbolic generating function and I need to do something along the lines of A = Point(B) where Point would be a pointing operation, ...
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1answer
54 views

Solving a small system of nonlinear ODEs to identify parameter regime

Given the following system of nonlinear ODEs: $$\dfrac{dx}{dt} = Q-qxy + \ell z \\ \dfrac{dy}{dt} = (\ell+v)z - qxy \\ \dfrac{dz}{dt} = qxy - (\ell+v)z $$ and initial conditions: $x(0) = 100, ...
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1answer
54 views

Solve nonlinear systems of trigonometric equations

I face the challenge to solve systems of nonlinear equations including trigonometric functions like this one: $$ y_1 = x_1 \\ y_2 = x_2 \\ \dot{y}_1 = u_1 \cos(x_3) \\ \dot{y}_2 = u_1 \sin(x_3) \\ ...
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1answer
54 views

factorizing polynomials over finite fields using maple and maxima [closed]

Can you factorize polynomials over certain finite fields using maple or maxima, and if so, how?
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1answer
40 views

“Error, (in Student:-calculus1:-roots) Cannot determine if this expression is true or false” [closed]

So I am trying to do the calculation which states: intervalsolve(sin(t) = .7, t = 0 .. 4*PI) but whenever I do it, I get the error which says: ...
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1answer
60 views

Maple summation notation issue: differentiating with respect to an indexed value

I am trying to solve a summation equation, for the derivative with respect to x[0], where x is a vector of numbers. If I try something like this: diff(sum(x[k]*f(k), k = 0 .. m)+sum(x[s]*f(s^2), s = ...
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1answer
19 views

Maple system of equations in matrix

I have three matrices A, B and C. Set of equations like this: $A\cdot B=C$ And I know what A and C are, but I'm looking for B. Sorry for beginner question, but I'm trying to do this entire noon and ...
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2answers
104 views

How to represent this matlab code in mathematical notation?

I have this code in matlab: z = linspace(d1,d2,n)*W/t; I am wondering how to express this operation in mathematical notation? I was thinking of something like ...
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0answers
46 views

Solving System of Equations in MAPLE

I am trying to solve a system of equations in MAPLE. This is the procedure I'm trying to follow: Guess the solution is a polynomial with constants that still need to be determined. Specify ...
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1answer
33 views

Error, (in sum) summation variable previously assigned

Assume that I have a function like this func1 := proc (a) return sum(i, i=1..a); end proc; This function works as long as I don't define a global variable ...
0
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1answer
92 views

Maple double sums: summation order

Suppose we want to compute $$\sum_{k=0}^1 \sum_{j=0}^{2k}{ 2 \choose 2k-j}{2 \choose j}=7$$ with Maple (I picked this trivial example only as an illustration).I always thought that the order of ...
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1answer
43 views

How can one sort a list of complex numbers in increasing order with respect to their imaginary part in Maple?

I am a beginner at Maple and am attempting to use the sort function to order a list of complex numbers according to their imaginary part, however I can find no function options that help. Will I have ...
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1answer
14 views

Maple zeroth entry of list or some other data structure?

Is it possible to change the structure of a list such that the $1$st element becomes the $0$th? That is, if $x$ is a list then $x[0]$ calls the first element of $x$. I am writing some pseudo-codes in ...
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1answer
40 views

how to do isomorphic ideal from root system of degree 5 or more [closed]

update1 i notice solving 1+x+x^2+x^3+x^4+x^5 have 5 solutions two conjugate real number and each of them having conjugate complex number part i change a*b + c to a1*a2*b1*b2 + c1*c2** still can ...
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1answer
47 views

Cubic polynomial and its discriminant

I'm taking a class that is having me research a topic and write a report on it. The assignment is to analyze the relationship between quadratic and cubic polynomials and their discriminants. In an ...
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1answer
67 views

Maple - plotting error

I want to plot the following function in Maple 18. p := (x, x0, w) -> exp(-(1/2)*(x-x0)^2/w^2)/sqrt(w*sqrt(pi)) and am attempting to plot it using the ...
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1answer
55 views

mathematica / maple

I have an expression of products and divisions of q-binomials. I want to check if the expression is always greater than 1. Is there a way I can do that with matlab/ mathematica/ maple?
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2answers
50 views

Help with grouping terms (maple)

I want to collect "coefficients" of polynomial over $x$ in some power, e.g.: $p:=a \cdot x^3 + b \cdot x^2 + c \cdot x + d$ $collect(p, x^2) = (a\cdot x+b)\cdot x^2 + (c\cdot x+d)$ and extract ...
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1answer
39 views

Identify terms in an expression (Maple)|

How hard is to program that given a symbolic expression like $$ f = x^2 + y^2 + k \, , $$ I could teach to Maple that $x^2 + y^2 = r^2$ and then it expresses f like $$ f = r^2 + k \, ? $$ Of course ...
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1answer
75 views

Help me calculate with maple the gcd of two polynomials

I can't calculate the gcd of two polynomials $x^2 + (\beta^3 +1)x + \beta^4 + \beta^3 + \beta^2 + \beta$ and $(\beta^5 + \beta^3 + 1)x + \beta^5 + \beta^3 + \beta^2$ where beta is the root of $x^6 + x ...
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1answer
44 views

Finding eigenvectors by hand

I can find eigenvectors by solving $$ (\mathbf{A}-\lambda \mathbf{I}) \, \mathbf{v} = \mathbf{0} $$ but isn't it the same as saying $$ \mathbf{v} = (\mathbf{A}-\lambda \mathbf{I})^{-1} \, \mathbf{0} ...
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2answers
44 views

Output assigning in Maple inside for loop

I am trying to define some solutions $x_k(t)$ inside a for loop in Maple. I have tried but I get an ugly output. I have also tried x[k]:=t-> ... but it makes ...
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3answers
35 views

Finding eigenvectors in Maple gives me variables $t_2$

I have a matrix $$ A = \begin{pmatrix} 0 & -1 \\ -1 & 0 \end{pmatrix} $$ I can find eigenvectors in Maple with Eigenvectors(A) from which I get the ...
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2answers
29 views

Evaluate 'symbolic'/expanded in Maple

When I write 'x(t)'=c[1]*exp(0*t)*(cos(omega*t)*<0,1>-sin(omega*t)*<-1,0>)+c[2]*exp(0*t)*(sin(-omega*t)*<0,1>+cos(-omega*t)*<1,0>); in ...
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1answer
26 views

To find the real conjugate (Maple Procedure)

I'm trying to write a procedure which returns the real conjugate of a real number. Ex: $2 + \sqrt3 \rightarrow 2 - \sqrt3$ I tried: ...
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3answers
57 views

How to set a function value or expression over a domain in Maple

I have a function $f(x,y,z)$ and would like to impose the condition $$f(x,y,z)|_{x^2+y^2<1}=x-y$$ That is, $f$ is set to be equal to $x-y$ within the unit circle in the xy-plane. How would I ...
0
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1answer
67 views

Problem with initial conditions and partial differential equations in Maple

I am new to Maple, trying to see how do I add initial conditions to a system of partial differential equations. Here is an example problem, which has some error in it. What is wrong? This appears on ...
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1answer
30 views

Problem with initial conditions in Maple

I am new to Maple, trying to see how do I add initial conditions to a system of differential equations. Here is an example problem, which has some error in it. What is wrong? This appears on the ...